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Phys. Rev. A 65, 042302 (2002) [4 pages]

Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality

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Jonathan Barrett
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

Received 7 September 2001; published 14 March 2002

We present a local-hidden-variable model for positive-operator-valued measurements (an LHVPOV model) on a class of entangled generalized Werner states, thus demonstrating that such measurements do not always violate a Bell-type inequality. We also show that, in general, if the state ρ can be obtained from ρ with certainty by local quantum operations without classical communication, then an LHVPOV model for the state ρ implies the existence of such a model for ρ.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.042302
DOI:
10.1103/PhysRevA.65.042302
PACS:
03.67.-a, 03.65.Ta, 03.65.Ud